Computer systems that support collaboration among students are not easily adopted in mathematics education. A possible reason for this is that the computer is rarely the students' preferred writing tool in mathematics. This paper investigates the writing processes of two research mathematicians, and tries to understand what parts of the mathematical writing process it is relevant and possible to support with a computer, for research mathematicians as well as students of mathematics. (Contains 5 footnotes and 4 figures.) [For complete proceedings, see ED500858.]